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Finding the Fourth Proportional to 358.96, 495.52 and 228

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Solution

The fourth proportional to 358.96, 495.52 and 228 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.96 : 495.52 = 228 : x
  2. Step 2: Convert to fraction form
    358.96/495.52 = 228/x
  3. Step 3: Cross multiply
    358.96x = 495.52 × 228
  4. Step 4: Simplify right side
    358.96x = 112,978.56
  5. Step 5: Solve for x
    x = 112,978.56/358.96
  6. Step 6: Final answer
    x = 314.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.